Rogue waves and entropy consumption

Hadjihoseini, Ali; Lind, Pedro G.; Mori, Nobuhito; Hoffmann, Norbert; Peinke, Joachim

doi:10.1209/0295-5075/120/30008

Cited by 10 publications

(13 citation statements)

References 30 publications

(72 reference statements)

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“…Most interestingly the negative entropy events seem to be related to extreme events in the increment statistics on the smallest scales, as can be seen in Fig. 8 and as reported in (62,58). This again points in the direction that salient structures of a complex system can be a proper part of the multi-point statistics, somehow unifying the approach to complex systems by coherent structures or by statistical methods.…”

Section: Non-equilibrium Thermodynamics Of Complex Hierarchical Strucsupporting

confidence: 63%

“…(61). In particular, the concept of stochastic thermodynamics is applied to turbulent flows (62, 63, 64) and sea waves (58). The novelty here is that concepts of non-equilibrium thermodynamics known to hold for microscopic systems are shown to be valid also for such macroscopic systems.…”

Section: Non-equilibrium Thermodynamics Of Complex Hierarchical Strucmentioning

confidence: 99%

“…In this way the cascade pictures of Kolmogorov (55) and Castaing (18) are set in a new thermodynamic context. Time series of increments calculated from height values of sea waves together with the corresponding local values of the entropy production (58). Note for each trajectory of increments one value of the entropy production is obtained.…”

Section: Thermodynamical Interpretation Of Turbulencementioning

confidence: 99%

See 2 more Smart Citations

The Fokker–Planck Approach to Complex Spatiotemporal Disordered Systems

Peinke

Tabar

Wächter

2019

Annu. Rev. Condens. Matter Phys.

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When the complete understanding of a complex system is not available, as, e.g., for systems considered in the real-world, we need a top-down approach to complexity. In this approach one may start with the desire to understand general multi-point statistics. Here such a general approach is presented and discussed based on examples from turbulence and sea waves. Our main idea is based on the cascade picture of turbulence, entangling fluctuations from large to small scales. Inspired by this cascade picture, we express the general multi-point statistics by the statistics of scale-dependent fluctuations of variables and relate it to a scale-dependent process, which finally is a stochastic cascade process. We show how to extract from empirical data a Fokker-Planck equation for this cascade process, which allows to generate surrogate data to forecast extreme events as well as to develop a non-equilibrium thermodynamics for the complex systems. For each cascade events an entropy production can be determined. These entropies fulfil accurately a rigorous law, namely the integral fluctuations theorem. 2Peinke Tabar Waechter

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Section: Non-equilibrium Thermodynamics Of Complex Hierarchical Strucsupporting

confidence: 63%

Section: Non-equilibrium Thermodynamics Of Complex Hierarchical Strucmentioning

confidence: 99%

Section: Thermodynamical Interpretation Of Turbulencementioning

confidence: 99%

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The Fokker–Planck Approach to Complex Spatiotemporal Disordered Systems

Peinke

Tabar

Wächter

2019

Annu. Rev. Condens. Matter Phys.

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“…Martinez et al [10] studied the feasibility of a semi-floating spar buoy wind turbine attached to mooring lines strongly anchored to the bed with a spherical joint, with the objective of reducing the oscillations of the system and thereby reducing the fatigue and maximum loads compared to the spar buoy turbine. Regarding the data modeling of sea height, there have been a series of measurements taken at the Northern Sea near Scotland (see Hadjihosseini et al [11][12][13]). In addition, the approach to analyze the evolution of stochastic properties associated to the operation of wind turbines has been made, particularly in what concerns loads on the wind turbine (see Lind et al [14,15]).…”

Section: Introductionmentioning

confidence: 99%

Study of Floating Wind Turbine with Modified Tension Leg Platform Placed in Regular Waves

Song

Lim

2019

Energies

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In this study, the typical ocean environment was simulated with the aim to investigate the dynamic response under various environmental conditions of a Tension Leg Platform (TLP) type floating offshore wind turbine system. By applying Froude scaling, a scale model with a scale of 1:200 was designed and model experiments were carried out in a lab-scale wave flume that generated regular periodic waves by means of a piston-type wave generator while a wave absorber dissipated wave energy on the other side of the channel. The model was designed and manufactured based on the standard prototype of the National Renewable Energy Laboratory (NREL) 5 MW offshore wind turbine. In the first half of the study, the motion and structural responses for operational wave conditions of the North Sea near Scotland were considered to investigate the performance of a traditional TLP floating wind turbine compared with that of a newly designed TLP with added mooring lines. The new mooring lines were attached with the objective of increasing the horizontal stiffness of the system and thereby reducing the dominant motion of the TLP platform (i.e., the surge motion). The results of surge translational motions were obtained both in the frequency domain, using the response amplitude operator (RAO), and in the time domain, using the omega arithmetic method for the relative velocity. The results obtained show that our suggested concept improves the stability of the platform and reduces the overall motion of the system in all degrees-of-freedom. Moreover, the modified design was verified to enable operation in extreme wave conditions based on real data for a 100-year return period of the Northern Sea of California. The loads applied by the waves on the structure were also measured experimentally using modified Morison equation—the formula most frequently used to estimate wave-induced forces on offshore floating structures. The corresponding results obtained show that the wave loads applied on the new design TLP had less amplitude than the initial model and confirmed the significant contribution of the mooring lines in improving the performance of the system.

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“…The method was initially developed by (Nawroth and Peinke, 2006) in the context of homogeneous isotropic turbulence and later on applied to the modeling of log-return rates of current exchange rates (Nawroth et al, 2010) and and velocity increments of idealised homogeneous isotropic turbulence (Stresing and Peinke, 2010). The successfull application to ocean gravity waves (Hadjihosseini et al, 2016) showed that structures of monster waves can be grasped by this approach correctly (Hadjihoseini et al, 2018). For a recent review see (Peinke et al, 2019).…”

mentioning

confidence: 99%

Multipoint Reconstruction of Wind Speeds

Behnken¹,

Wächter²,

Peinke³

2020

Preprint

Self Cite

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Abstract. The most intermittent behavior of atmospheric turbulence is found for very short time scales. Based on a concatenation of conditional probability density functions (cpdfs) of nested wind speeds increments, inspired by a Markov process in scale, we derive a short-time predictor for wind speed fluctuations around a non-stationary mean value and with a corresponding non-stationary variance. As a new quality this short time predictor enables a multipoint reconstruction of wind data. The used cpdfs are (1) directly estimated from historical data from the offshore research platform FINO1 and (2) obtained from numerical solutions of a family of Fokker-Planck equations in the scale domain. The explicit forms of the Fokker-Planck equations are estimated from the given wind data. A good agreement between the statistics of the generated synthetic wind speed fluctuations and the measured is found even on time scales below 1 s. This shows that our approach captures the short-time dynamics of real wind speed fluctuations very well. Our method is extended by taking the non-stationarity of the mean wind speed and its non-stationary variance into account.

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Rogue waves and entropy consumption

Cited by 10 publications

References 30 publications

The Fokker–Planck Approach to Complex Spatiotemporal Disordered Systems

The Fokker–Planck Approach to Complex Spatiotemporal Disordered Systems

Study of Floating Wind Turbine with Modified Tension Leg Platform Placed in Regular Waves

Multipoint Reconstruction of Wind Speeds

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